TSTP Solution File: GRP292-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP292-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.LHZExc1102 true
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:51:04 EDT 2023
% Result : Unsatisfiable 0.56s 0.85s
% Output : Refutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP292-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.LHZExc1102 true
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 01:58:44 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.48/0.65 % Total configuration time : 435
% 0.48/0.65 % Estimated wc time : 1092
% 0.48/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.85 % Solved by fo/fo7.sh.
% 0.56/0.85 % done 124 iterations in 0.072s
% 0.56/0.85 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/0.85 % SZS output start Refutation
% 0.56/0.85 thf(sk_c5_type, type, sk_c5: $i).
% 0.56/0.85 thf(sk_c1_type, type, sk_c1: $i).
% 0.56/0.85 thf(sk_c4_type, type, sk_c4: $i).
% 0.56/0.85 thf(identity_type, type, identity: $i).
% 0.56/0.85 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.56/0.85 thf(sk_c6_type, type, sk_c6: $i).
% 0.56/0.85 thf(inverse_type, type, inverse: $i > $i).
% 0.56/0.85 thf(sk_c3_type, type, sk_c3: $i).
% 0.56/0.85 thf(sk_c7_type, type, sk_c7: $i).
% 0.56/0.85 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 0.56/0.85 thf(zip_derived_cl1, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/0.85 thf(zip_derived_cl1, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/0.85 thf(associativity, axiom,
% 0.56/0.85 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 0.56/0.85 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 0.56/0.85 thf(zip_derived_cl2, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.85 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.56/0.85 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.56/0.85 inference('cnf', [status(esa)], [associativity])).
% 0.56/0.85 thf(zip_derived_cl41, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i]:
% 0.56/0.85 ((multiply @ identity @ X0)
% 0.56/0.85 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.56/0.85 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 0.56/0.85 thf(zip_derived_cl0, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/0.85 inference('cnf', [status(esa)], [left_identity])).
% 0.56/0.85 thf(zip_derived_cl60, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i]:
% 0.56/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl41, zip_derived_cl0])).
% 0.56/0.85 thf(zip_derived_cl72, plain,
% 0.56/0.85 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl60])).
% 0.56/0.85 thf(zip_derived_cl60, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i]:
% 0.56/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl41, zip_derived_cl0])).
% 0.56/0.85 thf(zip_derived_cl60, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i]:
% 0.56/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl41, zip_derived_cl0])).
% 0.56/0.85 thf(zip_derived_cl69, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i]:
% 0.56/0.85 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl60, zip_derived_cl60])).
% 0.56/0.85 thf(zip_derived_cl273, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl72, zip_derived_cl69])).
% 0.56/0.85 thf(zip_derived_cl72, plain,
% 0.56/0.85 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl60])).
% 0.56/0.85 thf(zip_derived_cl294, plain,
% 0.56/0.85 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl273, zip_derived_cl72])).
% 0.56/0.85 thf(zip_derived_cl294, plain,
% 0.56/0.85 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl273, zip_derived_cl72])).
% 0.56/0.85 thf(prove_this_21, conjecture,
% 0.56/0.85 (~( ( ( multiply @ X1 @ sk_c5 ) != ( sk_c6 ) ) |
% 0.56/0.85 ( ( inverse @ X2 ) != ( X1 ) ) |
% 0.56/0.85 ( ( multiply @ X2 @ X1 ) != ( sk_c6 ) ) |
% 0.56/0.85 ( ( multiply @ sk_c5 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.56/0.85 ( ( inverse @ X4 ) != ( sk_c5 ) ) |
% 0.56/0.85 ( ( multiply @ X4 @ sk_c5 ) != ( sk_c6 ) ) |
% 0.56/0.85 ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 0.56/0.85 ( ( multiply @ X3 @ sk_c7 ) != ( sk_c6 ) ) |
% 0.56/0.85 ( ( multiply @ sk_c7 @ sk_c6 ) != ( sk_c5 ) ) ))).
% 0.56/0.85 thf(zf_stmt_0, negated_conjecture,
% 0.56/0.85 (( ( multiply @ X1 @ sk_c5 ) != ( sk_c6 ) ) |
% 0.56/0.85 ( ( inverse @ X2 ) != ( X1 ) ) |
% 0.56/0.85 ( ( multiply @ X2 @ X1 ) != ( sk_c6 ) ) |
% 0.56/0.85 ( ( multiply @ sk_c5 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.56/0.85 ( ( inverse @ X4 ) != ( sk_c5 ) ) |
% 0.56/0.85 ( ( multiply @ X4 @ sk_c5 ) != ( sk_c6 ) ) |
% 0.56/0.85 ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 0.56/0.85 ( ( multiply @ X3 @ sk_c7 ) != ( sk_c6 ) ) |
% 0.56/0.85 ( ( multiply @ sk_c7 @ sk_c6 ) != ( sk_c5 ) )),
% 0.56/0.85 inference('cnf.neg', [status(esa)], [prove_this_21])).
% 0.56/0.85 thf(zip_derived_cl23, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.85 (((multiply @ X0 @ sk_c5) != (sk_c6))
% 0.56/0.85 | ((inverse @ X1) != (X0))
% 0.56/0.85 | ((multiply @ X1 @ X0) != (sk_c6))
% 0.56/0.85 | ((multiply @ sk_c5 @ sk_c6) != (sk_c7))
% 0.56/0.85 | ((inverse @ X2) != (sk_c5))
% 0.56/0.85 | ((multiply @ X2 @ sk_c5) != (sk_c6))
% 0.56/0.85 | ((inverse @ X3) != (sk_c7))
% 0.56/0.85 | ((multiply @ X3 @ sk_c7) != (sk_c6))
% 0.56/0.85 | ((multiply @ sk_c7 @ sk_c6) != (sk_c5)))),
% 0.56/0.85 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.85 thf(zip_derived_cl24, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.85 (((multiply @ X0 @ (multiply @ sk_c7 @ sk_c6)) != (sk_c6))
% 0.56/0.85 | ((inverse @ X1) != (X0))
% 0.56/0.85 | ((multiply @ X1 @ X0) != (sk_c6))
% 0.56/0.85 | ((multiply @ (multiply @ sk_c7 @ sk_c6) @ sk_c6) != (sk_c7))
% 0.56/0.85 | ((inverse @ X2) != (multiply @ sk_c7 @ sk_c6))
% 0.56/0.85 | ((multiply @ X2 @ (multiply @ sk_c7 @ sk_c6)) != (sk_c6))
% 0.56/0.85 | ((inverse @ X3) != (sk_c7))
% 0.56/0.85 | ((multiply @ X3 @ sk_c7) != (sk_c6))
% 0.56/0.85 | ((multiply @ sk_c7 @ sk_c6) != (sk_c5)))),
% 0.56/0.85 inference('local_rewriting', [status(thm)], [zip_derived_cl23])).
% 0.56/0.85 thf(zip_derived_cl2, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.85 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.56/0.85 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.56/0.85 inference('cnf', [status(esa)], [associativity])).
% 0.56/0.85 thf(zip_derived_cl37, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.85 (((multiply @ X0 @ (multiply @ sk_c7 @ sk_c6)) != (sk_c6))
% 0.56/0.85 | ((inverse @ X1) != (X0))
% 0.56/0.85 | ((multiply @ X1 @ X0) != (sk_c6))
% 0.56/0.85 | ((multiply @ sk_c7 @ (multiply @ sk_c6 @ sk_c6)) != (sk_c7))
% 0.56/0.85 | ((inverse @ X2) != (multiply @ sk_c7 @ sk_c6))
% 0.56/0.85 | ((multiply @ X2 @ (multiply @ sk_c7 @ sk_c6)) != (sk_c6))
% 0.56/0.85 | ((inverse @ X3) != (sk_c7))
% 0.56/0.85 | ((multiply @ X3 @ sk_c7) != (sk_c6))
% 0.56/0.85 | ((multiply @ sk_c7 @ sk_c6) != (sk_c5)))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl2])).
% 0.56/0.85 thf(prove_this_11, conjecture,
% 0.56/0.85 (~( ( ( inverse @ sk_c3 ) = ( sk_c4 ) ) |
% 0.56/0.85 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.56/0.85 thf(zf_stmt_1, negated_conjecture,
% 0.56/0.85 (( ( inverse @ sk_c3 ) = ( sk_c4 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.56/0.85 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 0.56/0.85 thf(zip_derived_cl13, plain,
% 0.56/0.85 ((((inverse @ sk_c3) = (sk_c4)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.56/0.85 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.56/0.85 thf(zip_derived_cl1, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/0.85 thf(zip_derived_cl25, plain,
% 0.56/0.85 ((((multiply @ sk_c7 @ sk_c1) = (identity))
% 0.56/0.85 | ((inverse @ sk_c3) = (sk_c4)))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl1])).
% 0.56/0.85 thf(zip_derived_cl60, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i]:
% 0.56/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl41, zip_derived_cl0])).
% 0.56/0.85 thf(zip_derived_cl74, plain,
% 0.56/0.85 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.56/0.85 | ((inverse @ sk_c3) = (sk_c4)))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl60])).
% 0.56/0.85 thf(prove_this_7, conjecture,
% 0.56/0.85 (~( ( ( inverse @ sk_c3 ) = ( sk_c4 ) ) |
% 0.56/0.85 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.56/0.85 thf(zf_stmt_2, negated_conjecture,
% 0.56/0.85 (( ( inverse @ sk_c3 ) = ( sk_c4 ) ) |
% 0.56/0.85 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 0.56/0.85 inference('cnf.neg', [status(esa)], [prove_this_7])).
% 0.56/0.85 thf(zip_derived_cl9, plain,
% 0.56/0.85 ((((inverse @ sk_c3) = (sk_c4)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.56/0.85 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.56/0.85 thf(zip_derived_cl105, plain,
% 0.56/0.85 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.56/0.85 = (sk_c6))
% 0.56/0.85 | ((inverse @ sk_c3) = (sk_c4))
% 0.56/0.85 | ((inverse @ sk_c3) = (sk_c4)))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl74, zip_derived_cl9])).
% 0.56/0.85 thf(zip_derived_cl2, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.85 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.56/0.85 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.56/0.85 inference('cnf', [status(esa)], [associativity])).
% 0.56/0.85 thf(zip_derived_cl0, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/0.85 inference('cnf', [status(esa)], [left_identity])).
% 0.56/0.85 thf(zip_derived_cl1, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/0.85 thf(zip_derived_cl117, plain,
% 0.56/0.85 ((((identity) = (sk_c6))
% 0.56/0.85 | ((inverse @ sk_c3) = (sk_c4))
% 0.56/0.85 | ((inverse @ sk_c3) = (sk_c4)))),
% 0.56/0.85 inference('demod', [status(thm)],
% 0.56/0.85 [zip_derived_cl105, zip_derived_cl2, zip_derived_cl0,
% 0.56/0.85 zip_derived_cl1])).
% 0.56/0.85 thf(zip_derived_cl118, plain,
% 0.56/0.85 ((((inverse @ sk_c3) = (sk_c4)) | ((identity) = (sk_c6)))),
% 0.56/0.85 inference('simplify', [status(thm)], [zip_derived_cl117])).
% 0.56/0.85 thf(prove_this_10, conjecture,
% 0.56/0.85 (~( ( ( multiply @ sk_c3 @ sk_c4 ) = ( sk_c6 ) ) |
% 0.56/0.85 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.56/0.85 thf(zf_stmt_3, negated_conjecture,
% 0.56/0.85 (( ( multiply @ sk_c3 @ sk_c4 ) = ( sk_c6 ) ) |
% 0.56/0.85 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.56/0.85 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 0.56/0.85 thf(zip_derived_cl12, plain,
% 0.56/0.85 ((((multiply @ sk_c3 @ sk_c4) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.56/0.85 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.56/0.85 thf(zip_derived_cl1, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/0.85 thf(zip_derived_cl28, plain,
% 0.56/0.85 ((((multiply @ sk_c7 @ sk_c1) = (identity))
% 0.56/0.85 | ((multiply @ sk_c3 @ sk_c4) = (sk_c6)))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl1])).
% 0.56/0.85 thf(zip_derived_cl60, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i]:
% 0.56/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl41, zip_derived_cl0])).
% 0.56/0.85 thf(zip_derived_cl76, plain,
% 0.56/0.85 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.56/0.85 | ((multiply @ sk_c3 @ sk_c4) = (sk_c6)))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl60])).
% 0.56/0.85 thf(prove_this_6, conjecture,
% 0.56/0.85 (~( ( ( multiply @ sk_c3 @ sk_c4 ) = ( sk_c6 ) ) |
% 0.56/0.85 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.56/0.85 thf(zf_stmt_4, negated_conjecture,
% 0.56/0.85 (( ( multiply @ sk_c3 @ sk_c4 ) = ( sk_c6 ) ) |
% 0.56/0.85 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 0.56/0.85 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 0.56/0.85 thf(zip_derived_cl8, plain,
% 0.56/0.85 ((((multiply @ sk_c3 @ sk_c4) = (sk_c6))
% 0.56/0.85 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.56/0.85 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.56/0.85 thf(zip_derived_cl189, plain,
% 0.56/0.85 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.56/0.85 = (sk_c6))
% 0.56/0.85 | ((multiply @ sk_c3 @ sk_c4) = (sk_c6))
% 0.56/0.85 | ((multiply @ sk_c3 @ sk_c4) = (sk_c6)))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl76, zip_derived_cl8])).
% 0.56/0.85 thf(zip_derived_cl2, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.85 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.56/0.85 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.56/0.85 inference('cnf', [status(esa)], [associativity])).
% 0.56/0.85 thf(zip_derived_cl0, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/0.85 inference('cnf', [status(esa)], [left_identity])).
% 0.56/0.85 thf(zip_derived_cl1, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/0.85 thf(zip_derived_cl202, plain,
% 0.56/0.85 ((((identity) = (sk_c6))
% 0.56/0.85 | ((multiply @ sk_c3 @ sk_c4) = (sk_c6))
% 0.56/0.85 | ((multiply @ sk_c3 @ sk_c4) = (sk_c6)))),
% 0.56/0.85 inference('demod', [status(thm)],
% 0.56/0.85 [zip_derived_cl189, zip_derived_cl2, zip_derived_cl0,
% 0.56/0.85 zip_derived_cl1])).
% 0.56/0.85 thf(zip_derived_cl203, plain,
% 0.56/0.85 ((((multiply @ sk_c3 @ sk_c4) = (sk_c6)) | ((identity) = (sk_c6)))),
% 0.56/0.85 inference('simplify', [status(thm)], [zip_derived_cl202])).
% 0.56/0.85 thf(zip_derived_cl235, plain,
% 0.56/0.85 ((((multiply @ sk_c3 @ (inverse @ sk_c3)) = (sk_c6))
% 0.56/0.85 | ((identity) = (sk_c6))
% 0.56/0.85 | ((identity) = (sk_c6)))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl118, zip_derived_cl203])).
% 0.56/0.85 thf(zip_derived_cl238, plain,
% 0.56/0.85 ((((identity) = (sk_c6))
% 0.56/0.85 | ((multiply @ sk_c3 @ (inverse @ sk_c3)) = (sk_c6)))),
% 0.56/0.85 inference('simplify', [status(thm)], [zip_derived_cl235])).
% 0.56/0.85 thf(zip_derived_cl294, plain,
% 0.56/0.85 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl273, zip_derived_cl72])).
% 0.56/0.85 thf(zip_derived_cl1, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/0.85 thf(zip_derived_cl299, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl294, zip_derived_cl1])).
% 0.56/0.85 thf(zip_derived_cl611, plain,
% 0.56/0.85 ((((identity) = (sk_c6)) | ((identity) = (sk_c6)))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl238, zip_derived_cl299])).
% 0.56/0.85 thf(zip_derived_cl612, plain, (((identity) = (sk_c6))),
% 0.56/0.85 inference('simplify', [status(thm)], [zip_derived_cl611])).
% 0.56/0.85 thf(zip_derived_cl273, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl72, zip_derived_cl69])).
% 0.56/0.85 thf(zip_derived_cl612, plain, (((identity) = (sk_c6))),
% 0.56/0.85 inference('simplify', [status(thm)], [zip_derived_cl611])).
% 0.56/0.85 thf(zip_derived_cl612, plain, (((identity) = (sk_c6))),
% 0.56/0.85 inference('simplify', [status(thm)], [zip_derived_cl611])).
% 0.56/0.85 thf(zip_derived_cl612, plain, (((identity) = (sk_c6))),
% 0.56/0.85 inference('simplify', [status(thm)], [zip_derived_cl611])).
% 0.56/0.85 thf(zip_derived_cl612, plain, (((identity) = (sk_c6))),
% 0.56/0.85 inference('simplify', [status(thm)], [zip_derived_cl611])).
% 0.56/0.85 thf(zip_derived_cl0, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/0.85 inference('cnf', [status(esa)], [left_identity])).
% 0.56/0.85 thf(zip_derived_cl273, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl72, zip_derived_cl69])).
% 0.56/0.85 thf(zip_derived_cl612, plain, (((identity) = (sk_c6))),
% 0.56/0.85 inference('simplify', [status(thm)], [zip_derived_cl611])).
% 0.56/0.85 thf(zip_derived_cl273, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl72, zip_derived_cl69])).
% 0.56/0.85 thf(zip_derived_cl612, plain, (((identity) = (sk_c6))),
% 0.56/0.85 inference('simplify', [status(thm)], [zip_derived_cl611])).
% 0.56/0.85 thf(zip_derived_cl273, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl72, zip_derived_cl69])).
% 0.56/0.85 thf(zip_derived_cl612, plain, (((identity) = (sk_c6))),
% 0.56/0.85 inference('simplify', [status(thm)], [zip_derived_cl611])).
% 0.56/0.85 thf(zip_derived_cl612, plain, (((identity) = (sk_c6))),
% 0.56/0.85 inference('simplify', [status(thm)], [zip_derived_cl611])).
% 0.56/0.85 thf(zip_derived_cl612, plain, (((identity) = (sk_c6))),
% 0.56/0.85 inference('simplify', [status(thm)], [zip_derived_cl611])).
% 0.56/0.85 thf(zip_derived_cl273, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl72, zip_derived_cl69])).
% 0.56/0.85 thf(zip_derived_cl638, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.85 (((multiply @ X0 @ sk_c7) != (identity))
% 0.56/0.85 | ((inverse @ X1) != (X0))
% 0.56/0.85 | ((multiply @ X1 @ X0) != (identity))
% 0.56/0.85 | ((sk_c7) != (sk_c7))
% 0.56/0.85 | ((inverse @ X2) != (sk_c7))
% 0.56/0.85 | ((multiply @ X2 @ sk_c7) != (identity))
% 0.56/0.85 | ((inverse @ X3) != (sk_c7))
% 0.56/0.85 | ((multiply @ X3 @ sk_c7) != (identity))
% 0.56/0.85 | ((sk_c7) != (sk_c5)))),
% 0.56/0.85 inference('demod', [status(thm)],
% 0.56/0.85 [zip_derived_cl37, zip_derived_cl612, zip_derived_cl273,
% 0.56/0.85 zip_derived_cl612, zip_derived_cl612, zip_derived_cl612,
% 0.56/0.85 zip_derived_cl612, zip_derived_cl0, zip_derived_cl273,
% 0.56/0.85 zip_derived_cl612, zip_derived_cl273, zip_derived_cl612,
% 0.56/0.85 zip_derived_cl273, zip_derived_cl612, zip_derived_cl612,
% 0.56/0.85 zip_derived_cl612, zip_derived_cl273])).
% 0.56/0.85 thf(zip_derived_cl639, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.85 (((sk_c7) != (sk_c5))
% 0.56/0.85 | ((multiply @ X3 @ sk_c7) != (identity))
% 0.56/0.85 | ((inverse @ X3) != (sk_c7))
% 0.56/0.85 | ((multiply @ X2 @ sk_c7) != (identity))
% 0.56/0.85 | ((inverse @ X2) != (sk_c7))
% 0.56/0.85 | ((multiply @ X1 @ X0) != (identity))
% 0.56/0.85 | ((inverse @ X1) != (X0))
% 0.56/0.85 | ((multiply @ X0 @ sk_c7) != (identity)))),
% 0.56/0.85 inference('simplify', [status(thm)], [zip_derived_cl638])).
% 0.56/0.85 thf(prove_this_1, conjecture,
% 0.56/0.85 (~( ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.56/0.85 ( ( multiply @ sk_c7 @ sk_c6 ) = ( sk_c5 ) ) ))).
% 0.56/0.85 thf(zf_stmt_5, negated_conjecture,
% 0.56/0.85 (( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.56/0.85 ( ( multiply @ sk_c7 @ sk_c6 ) = ( sk_c5 ) )),
% 0.56/0.85 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 0.56/0.85 thf(zip_derived_cl3, plain,
% 0.56/0.85 ((((multiply @ sk_c5 @ sk_c6) = (sk_c7))
% 0.56/0.85 | ((multiply @ sk_c7 @ sk_c6) = (sk_c5)))),
% 0.56/0.85 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.56/0.85 thf(zip_derived_cl612, plain, (((identity) = (sk_c6))),
% 0.56/0.85 inference('simplify', [status(thm)], [zip_derived_cl611])).
% 0.56/0.85 thf(zip_derived_cl273, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl72, zip_derived_cl69])).
% 0.56/0.85 thf(zip_derived_cl612, plain, (((identity) = (sk_c6))),
% 0.56/0.85 inference('simplify', [status(thm)], [zip_derived_cl611])).
% 0.56/0.85 thf(zip_derived_cl273, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl72, zip_derived_cl69])).
% 0.56/0.85 thf(zip_derived_cl613, plain, ((((sk_c5) = (sk_c7)) | ((sk_c7) = (sk_c5)))),
% 0.56/0.85 inference('demod', [status(thm)],
% 0.56/0.85 [zip_derived_cl3, zip_derived_cl612, zip_derived_cl273,
% 0.56/0.85 zip_derived_cl612, zip_derived_cl273])).
% 0.56/0.85 thf(zip_derived_cl614, plain, (((sk_c5) = (sk_c7))),
% 0.56/0.85 inference('simplify', [status(thm)], [zip_derived_cl613])).
% 0.56/0.85 thf(zip_derived_cl668, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.85 (((sk_c7) != (sk_c7))
% 0.56/0.85 | ((multiply @ X3 @ sk_c7) != (identity))
% 0.56/0.85 | ((inverse @ X3) != (sk_c7))
% 0.56/0.85 | ((multiply @ X2 @ sk_c7) != (identity))
% 0.56/0.85 | ((inverse @ X2) != (sk_c7))
% 0.56/0.85 | ((multiply @ X1 @ X0) != (identity))
% 0.56/0.85 | ((inverse @ X1) != (X0))
% 0.56/0.85 | ((multiply @ X0 @ sk_c7) != (identity)))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl639, zip_derived_cl614])).
% 0.56/0.85 thf(zip_derived_cl669, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.85 (((multiply @ X0 @ sk_c7) != (identity))
% 0.56/0.85 | ((inverse @ X1) != (X0))
% 0.56/0.85 | ((multiply @ X1 @ X0) != (identity))
% 0.56/0.85 | ((inverse @ X2) != (sk_c7))
% 0.56/0.85 | ((multiply @ X2 @ sk_c7) != (identity))
% 0.56/0.85 | ((inverse @ X3) != (sk_c7))
% 0.56/0.85 | ((multiply @ X3 @ sk_c7) != (identity)))),
% 0.56/0.85 inference('simplify', [status(thm)], [zip_derived_cl668])).
% 0.56/0.85 thf(zip_derived_cl673, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.85 (((multiply @ X0 @ sk_c7) != (identity))
% 0.56/0.85 | ((inverse @ X0) != (sk_c7))
% 0.56/0.85 | ((multiply @ X1 @ sk_c7) != (identity))
% 0.56/0.85 | ((inverse @ X1) != (sk_c7))
% 0.56/0.85 | ((multiply @ X2 @ (inverse @ X2)) != (identity))
% 0.56/0.85 | ((multiply @ (inverse @ X2) @ sk_c7) != (identity)))),
% 0.56/0.85 inference('eq_res', [status(thm)], [zip_derived_cl669])).
% 0.56/0.85 thf(zip_derived_cl299, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.56/0.85 inference('sup+', [status(thm)], [zip_derived_cl294, zip_derived_cl1])).
% 0.56/0.85 thf(zip_derived_cl674, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.85 (((multiply @ X0 @ sk_c7) != (identity))
% 0.56/0.85 | ((inverse @ X0) != (sk_c7))
% 0.56/0.85 | ((multiply @ X1 @ sk_c7) != (identity))
% 0.56/0.85 | ((inverse @ X1) != (sk_c7))
% 0.56/0.85 | ((identity) != (identity))
% 0.56/0.85 | ((multiply @ (inverse @ X2) @ sk_c7) != (identity)))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl673, zip_derived_cl299])).
% 0.56/0.85 thf(zip_derived_cl675, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.85 (((multiply @ (inverse @ X2) @ sk_c7) != (identity))
% 0.56/0.85 | ((inverse @ X1) != (sk_c7))
% 0.56/0.85 | ((multiply @ X1 @ sk_c7) != (identity))
% 0.56/0.85 | ((inverse @ X0) != (sk_c7))
% 0.56/0.85 | ((multiply @ X0 @ sk_c7) != (identity)))),
% 0.56/0.85 inference('simplify', [status(thm)], [zip_derived_cl674])).
% 0.56/0.85 thf(zip_derived_cl678, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.85 (((X0) != (sk_c7))
% 0.56/0.85 | ((multiply @ X1 @ sk_c7) != (identity))
% 0.56/0.85 | ((inverse @ X1) != (sk_c7))
% 0.56/0.85 | ((multiply @ (inverse @ X0) @ sk_c7) != (identity))
% 0.56/0.85 | ((multiply @ (inverse @ X2) @ sk_c7) != (identity)))),
% 0.56/0.85 inference('sup-', [status(thm)], [zip_derived_cl294, zip_derived_cl675])).
% 0.56/0.85 thf(zip_derived_cl681, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i]:
% 0.56/0.85 (((multiply @ (inverse @ X0) @ sk_c7) != (identity))
% 0.56/0.85 | ((multiply @ (inverse @ sk_c7) @ sk_c7) != (identity))
% 0.56/0.85 | ((inverse @ X1) != (sk_c7))
% 0.56/0.85 | ((multiply @ X1 @ sk_c7) != (identity)))),
% 0.56/0.85 inference('eq_res', [status(thm)], [zip_derived_cl678])).
% 0.56/0.85 thf(zip_derived_cl1, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/0.85 thf(zip_derived_cl682, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i]:
% 0.56/0.85 (((multiply @ (inverse @ X0) @ sk_c7) != (identity))
% 0.56/0.85 | ((identity) != (identity))
% 0.56/0.85 | ((inverse @ X1) != (sk_c7))
% 0.56/0.85 | ((multiply @ X1 @ sk_c7) != (identity)))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl681, zip_derived_cl1])).
% 0.56/0.85 thf(zip_derived_cl683, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i]:
% 0.56/0.85 (((multiply @ X1 @ sk_c7) != (identity))
% 0.56/0.85 | ((inverse @ X1) != (sk_c7))
% 0.56/0.85 | ((multiply @ (inverse @ X0) @ sk_c7) != (identity)))),
% 0.56/0.85 inference('simplify', [status(thm)], [zip_derived_cl682])).
% 0.56/0.85 thf(zip_derived_cl684, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i]:
% 0.56/0.85 (((X0) != (sk_c7))
% 0.56/0.85 | ((multiply @ (inverse @ X1) @ sk_c7) != (identity))
% 0.56/0.85 | ((multiply @ (inverse @ X0) @ sk_c7) != (identity)))),
% 0.56/0.85 inference('sup-', [status(thm)], [zip_derived_cl294, zip_derived_cl683])).
% 0.56/0.85 thf(zip_derived_cl687, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (((X0) != (sk_c7))
% 0.56/0.85 | ((multiply @ (inverse @ X0) @ sk_c7) != (identity)))),
% 0.56/0.85 inference('condensation', [status(thm)], [zip_derived_cl684])).
% 0.56/0.85 thf(zip_derived_cl688, plain,
% 0.56/0.85 (((multiply @ (inverse @ sk_c7) @ sk_c7) != (identity))),
% 0.56/0.85 inference('eq_res', [status(thm)], [zip_derived_cl687])).
% 0.56/0.85 thf(zip_derived_cl1, plain,
% 0.56/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/0.85 thf(zip_derived_cl689, plain, (((identity) != (identity))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl688, zip_derived_cl1])).
% 0.56/0.85 thf(zip_derived_cl690, plain, ($false),
% 0.56/0.85 inference('simplify', [status(thm)], [zip_derived_cl689])).
% 0.56/0.85
% 0.56/0.85 % SZS output end Refutation
% 0.56/0.85
% 0.56/0.85
% 0.56/0.85 % Terminating...
% 0.61/0.96 % Runner terminated.
% 0.61/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------